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Probability question

2025 · 8 Apr · Shift 2 · Q42
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  5. /2025 · 8 Apr · Shift 2 · Q42

Probability question

2025 · 8 Apr · Shift 2 · Q42

JEE MainMathematicsProbabilityMCQ+4 / −1
If A and B are two events such that P(A)=0.7P(A) = 0.7P(A)=0.7, P(B)=0.4P(B) = 0.4P(B)=0.4 and P(A∩B‾)=0.5P(A \cap \overline{B}) = 0.5P(A∩B)=0.5, where B‾\overline{B}B denotes the complement of B, then P(B∣(A∪B‾))P\left(B \mid (A \cup \overline{B})\right)P(B∣(A∪B)) is equal to
  1. A
    13\frac{1}{3}31​
  2. B
    12\frac{1}{2}21​
  3. C
    14\frac{1}{4}41​
  4. D
    16\frac{1}{6}61​
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